Search: id:A107768
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%I A107768
%S A107768 30,1309,50209,299423,4329769,4661471,13968601,19867823,49402237,
%T A107768 90419171,95575609,230236057
%N A107768 Integers p*q*r such that p*q and q*r are both golden semiprimes (A108540). 
               Integers p*q*r such that p = A108541(j), q = A108542(j) = A108541(k) 
               and r = A108542(k).
%C A107768 Golden 3-almost primes.
%C A107768 Volumes of bricks (rectangular parallelopipeds) each of whose faces has 
               golden semiprime area. How long a chain is possible of the form p(1) 
               * p(2) * p(3) * ... * p(n) where each successive pair of values are 
               factors of a golden semiprime? That is, if Zumkeller's golden semiprimes 
               are the 2-dimensional case and the present sequence is the 3-dimensional 
               case, is there a maximum n for an n-dimensional case?
%e A107768 30 = 2 * 3 * 5, where both 2*3=6 and 3*5=15 are golden semiprimes.
%e A107768 1309 = 7 * 11 * 17.
%e A107768 50209 = 23 * 37 * 59.
%Y A107768 Cf. A014612, A108540, A108541, A108542.
%Y A107768 Sequence in context: A060076 A163521 A002456 this_sequence A048536 A000173 
               A055351
%Y A107768 Adjacent sequences: A107765 A107766 A107767 this_sequence A107769 A107770 
               A107771
%K A107768 easy,nonn
%O A107768 1,1
%A A107768 Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 11 2005

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